SSC CGL 2025 PYQ — Question 53

SSC CGL - 17 Sep 2025 - Shift 2 • Quantitative Aptitude • Q53

In a circle, a chord AB is 12 cm long and is at a distance of 4 cm from the center. What is the radius of the circle?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 52\sqrt{52} cm.

Radius2 = (Half chord)2 + (Distance from center to chord)2

⇒ Radius2 = (12/2)2 + 42 = 36 + 16 = 52

⇒ Radius (r) = √52 cm